Unfortunately I don't think this is merely cognitive bias. It's actually built into our legal system at a pretty fundamental level: machines are held to a higher standard than humans when it comes to failures with grave consequences.
And keep in mind, this system only achieves the same accuracy as doctors. What is the wnd benefit, other than shifting where money flows?
Do you really think this benefit is substantial enough that we will se major overhauls of tort law in all US states and in every country in the rest of the world?